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Finding the Third Proportional to 80,226.50 and 171,838.50

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Solution

The third proportional to 80,226.50 and 171,838.50 is: 368,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,226.50 : 171,838.50 = 171,838.50 : x
  2. Step 2: Convert to fraction form
    80,226.50/171,838.50 = 171,838.50/x
  3. Step 3: Cross multiply
    80,226.50x = 171,838.50 × 171,838.50
  4. Step 4: Simplify right side
    80,226.50x = 29,528,470,082.25
  5. Step 5: Solve for x
    x = 29,528,470,082.25/80,226.50
  6. Step 6: Final answer
    x = 368,063.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.